Question

Find the dimensions of \( \frac{B}{\mu_0} \)

• A. [AL]
• B. [AL\(^{-1}\)]
• C. [MAL]
• D. [MALT\(^{-1}\)]

Hint:

In problems involving physical constants like permeability, always derive the units first to ensure the correct dimensional analysis.

Answer 1

The Correct Option is D

The expression \( \frac{B}{\mu_0} \) represents a quantity related to magnetic fields. 

The dimensions of \( B \) (magnetic field) are [M T\(^{-2}\) A\(^{-1}\)], and the dimensions of permeability \( \mu_0 \) are [M L\(^{-1}\) T\(^{-2}\) A\(^{-2}\)]. 

Therefore, the dimensions of \( \frac{B}{\mu_0} \) are [M A L T\(^{-1}\)].